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A ladder leans against a wall at an angle of 80° with respect to the ground....

A ladder leans against a wall at an angle of 80° with respect to the ground. If the floor is slippery but the wall not (i.e., μfloor = 0, μwall ≠ 0) could the ladder be in static equilibrium? What if both the wall and the floor are slippery (i.e., μfloor = μwall = 0), could the ladder be in static equilibrium? Finally, can ladder be in static equilibrium if the floor was not slippery, but the wall was (i.e., μfloor ≠ 0, μwall = 0)?

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